I'm glad to see you don't intend to carry your pistol.
IF ... you ever decide to try this with your replica, pre-1898, black powder revolver, doesn't use fixed ammunition, its a 150 year old technology, so I don't need a permit ... likely what will happen is:
A cop will spot you and you will be arrested, cuffed, and jailed, plus you pistol will be confiscated. It will be of no avail to explain to the cop that it is a curio and relic. The cop will see it as a lethal weapon, which it is!
You will get a trial date, appear in court with your attorney (think a few thousand dollars in fees), and suffer the penalty for carrying without a permit.
You could also try to convince a judge the pistol is not a "firearm" in the modern sense, get an attorney who specializes in these matters (think lots of thousands of dollars), and probably loose anyway.